verify Euler's formulae for a right triangular prism.
Euler's formulae= F+V-E=2
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Answer:
Recall the Euler’s formula, F + V = E + 2 Here number of faces, F = 5 Number of vertices, V = 6Number of edges, E = 9 Consider, F+V = 5 + 6 = 11 E + 2 = 9 + 2 = 11 Hence F + V = E + 2 Thus Euler’s formula is verified
Number of faces (F) =5
Number of edges (E)= 9
Number of vertices (V) =6
Now Euler's formula states that V + F - E = 2
So, for triangular prism we have
L.H.S. ⇒ V + F - E = 6 + 5 - 9 = 11 - 9 = 2 = R.H.S.
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Answered by
6
Step-by-step explanation:
Vertices=6
Faces=5
Edges=9
Euler's formula =V+F-E=2
SO, 6+5-9=2
11-9=2
2=2
hence verify,
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